Solving Multi-Step Equations and Distributions

The video tutorial covers solving multi-step equations, emphasizing the importance of identifying like terms and using distribution when necessary. It provides several examples, including equations without distribution, with distribution, with variables on the right side, and involving fractions. The tutorial aims to enhance understanding of solving equations step-by-step and justifying each step using mathematical properties.

What is the first step in solving a multi-step equation?

• Subtract variables

• Add constants

• Distribute if needed

• Combine like terms

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CCSS.7.EE.A.1

In Example 1, what is the result of combining the like terms 9x and -7x?

• 16x

• 2x

• -2x

• 0x

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CCSS.8.EE.C.7B

What is the final value of x in Example 1?

• 16

• -8

• 8

• 4

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CCSS.6.EE.A.3

In Example 2, what is the result of distributing -3 into the parentheses?

• -3k - 24

• 3k + 24

• -3k + 24

• 3k - 24

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CCSS.7.EE.B.4A

What is the value of k in Example 2 after solving the equation?

• -1

• 0

• 1

• 2

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CCSS.7.EE.A.1

In Example 3, what is the result of combining the like terms 10x and -12x?

• -22x

• 22x

• 2x

• -2x

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CCSS.7.EE.B.4A

What is the final value of x in Example 3?

• 25

• -50

• -25

• 50

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CCSS.7.EE.B.4A

What is the purpose of drawing a line down the equal sign in Example 3?

• To separate constants

• To indicate the solution

• To separate the two sides of the equation

• To separate variables

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CCSS.6.EE.A.3

In Example 4, what is the result of distributing -5 into the parentheses?

• -40r + 30

• 40r - 30

• -20r + 15

• 20r - 15

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CCSS.7.EE.B.4A

What is the final value of r in Example 4?

• 9/5

• -5/9

• 5/9

• -9/5

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CCSS.7.EE.B.4A